Finite Group DatabasebetaFinite Group Databasebeta| order | 17091 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | 3−1+2×C211 ⋊ C3 |
| Sylow | C211 ⋊ #737 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5697 |
Polycyclic presentation:
3^4,211|c^3=d,b^a=bd,e^a=e^14,e^c=e^196803 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17091, 48);